﻿ Financial Calculus - Auditoria e FiscalidadeInstituto Politécnico de Tomar

# IPT

Ano Letivo: 2015/16

## Financial Calculus

5 ECTS; 2º Ano, 1º Semestre, 60,0 TP , Cód. 963813.

Lecturer
- Luís António Antunes Francisco (2)

(1) Docente Responsável
(2) Docente que lecciona

Prerequisites
Having attended mathematics courses.

Objectives
- Calculate present and future values of one or more capitals, solving problems related to such operations;
- Equate and distinguish different types of annuities, solving problems;
- Solve problems attending to different payment modalities of a loan.

Program
1  Introduction
 Basic concepts.
 Interest rate and discount rate.
 Present value and future value.

2 - Capitalization processes
 Simple interest scheme.
 Banking discount and reform of trade bills.
 Compound interest scheme.
 Nominal and effective rates, proportional and equivalent rates.
 Current and real rates.
 Capitalization in the domain of continuous.

3  Annuities
 Concept and modalities.
 Annuities with constant terms.
 Entire and temporary annuities.
 Fractional and temporary annuities.
 Perpetual annuities.
 Annuities with terms in Arithmetic Progression.
 Annuities with terms in Geometric Progression.

4 - Loan amortizations
 Concept and modalities.
 Reimbursement in constant annuities.
 Reimbursement in constant periodic capital amortization.
 Other modalities and variants.
 Bond loans.

Evaluation Methodology
Frequency Assessment:
- Six Mini-tests during class period, with a quotation of 5 for each, which count to the final score the best four (40% of the final grade).
- A final test (60% of the final grade).
Score < 10 => Exam or Recourse Exam.

Bibliography
- Barroso, M. e Crespo, N. e Couto, E. (2009). Cálculo e Instrumentos Financeiros, da Prática para a Teoria. Lisboa, Portugal: Escolar Editora
- Matias, R. (2015). Cálculo Financeiro, Teoria e Prática. Lisboa, Portugal: Escolar Editora
- Quelhas, A. e Correia, F. (2014). Manual de Matemática Financeira. Coimbra, Portugal: Livraria Almedina
- Rodrigues, A. e Nicolau, I. (2010). Elementos de Cálculo Financeiro. Lisboa, Portugal: Áreas Editora

Teaching Method
 Theoretic presentations by the teacher through expositive and interrogative methods, with the board support and with audiovisual support
 Resolution of practical exercises
 Realization of six "mini-tests" during the class period, for assessment

Software used in class
Not applicable.